Question

1) Calculeaza
a)
$2 {}^{4} \times {5}^{4}$
b)
$3 \times 2 {}^{1 3} \times 5 {}^{13}$
c)
$2 {}^{15} \times 5 {}^{12}$
d)
${2}^{10 } \times 5 {}^{6} \times {7}^{27}$
Va rog repedeee !!

Answer 1

a)
2^4 × 5^4 = (2×5)^4 = 10^4 = 10 000

b)
3 × 2^13 × 5^13 =
= 3 × (2×5)^13 =
= 3 × 10^13 =
= 3 × 1000...0 (0 de 13 ori)
= 3000...0 (0 de 13 ori)

c)
2^15 × 5^12 = 2^12 × 5^12 × 2^3 =
= (2×5)^12 × 8 =
= 10^12 × 8 =
= 8 × 1000...0 (0 de 12 ori) =
= 8000...0 (0 de 12 ori)

d)
2^10 × 5^6 × 7^27 =
= 2^4 × 2^6× 5^6 × 7^6 × 7^20 × 7^1 =
= 2^4 × (2×5×7)^6 × 7^20 × 7^1 =
= 2^4 ×70^6 × 7^20 × 7
Ultimul nu-mi iese:(( O sa mai incerc...